Existence and concentration of positive solutions for a system of coupled saturable Schrodinger equations

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Author(s):	Lehrer, Raquel ^[1] ; Monari Soares, Sergio H. ^[2] Total Authors: 2
Affiliation:	^[1] Univ Estadual Oeste Parana, Ctr Ciencias Exatas & Tecnol, BR-85819110 Cascavel, PR - Brazil ^[2] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 197, AUG 2020.
Web of Science Citations:	0
Abstract
It is considered a saturable system of coupled Schrodinger equations with asymptotically linear nonlinearities. The bound states (solutions with finite energy) are proved to exist and have a concentration behavior under hypotheses involving the coupling and saturation parameters. The proof is based on variational methods. (C) 2020 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process:	16/20798-5 - Existence of solutions for asymptotically linear at infinity systems
Grantee:	Raquel Lehrer
Support Opportunities:	Scholarships in Brazil - Post-Doctoral